Why should you not choose a point on the line to find the direction of shading in an inequality?(2 points)

Answer 1

Choosing a point on the line to find the direction of shading in an inequality is not recommended for two reasons:

1) The chosen point may lie on the boundary of the inequality, which results in an ambiguity in the direction of shading. It might not provide any meaningful information about the solution set.

2) By choosing a point on the line, we may not be able to determine the correct side of the line to shade. This can lead to an incorrect representation of the solution to the inequality.